# How do you evaluate the limit #x/(sqrt(3x^2+1)# as x approaches #oo#?

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To evaluate the limit of x/(sqrt(3x^2+1)) as x approaches infinity, we can use the concept of limits. By dividing both the numerator and denominator by x, we can simplify the expression. This results in 1/(sqrt(3+(1/x^2))). As x approaches infinity, 1/x^2 approaches zero. Therefore, the expression simplifies to 1/(sqrt(3+0)), which is equal to 1/sqrt(3). Hence, the limit of x/(sqrt(3x^2+1)) as x approaches infinity is 1/sqrt(3).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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